According to the testament left by progenitor Mayer Amschel Rothschild, the children of the Rothschild family were obliged to enter into matrimony with their first and second cousins. Anselm Salomon did so in 1826 by marrying Charlotte Nathan Rothschild (1807–1859), daughter of his uncle Nathan Mayer Rothschild (1777–1836) from the London branch of the family; together they had eight children:

In 1820 Anselm Salomon's father Salomon Mayer had established a bank company at Vienna, financing the building of the Austrian Emperor Ferdinand Northern Railway in the 1830s. He had been a confident of Chancellor Prince Klemens von Metternich and also a discreet lender of the Bohemian and Hungarian nobility. Upon his death in 1855, his son and heir Anselm created the k.k. privilegierte Österreichische Credit-Anstalt für Handel und Gewerbe, which evolved to the largest bank of the Austro-Hungarian Monarchy.